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Finding the Third Proportional to 774,437.91 and 1,677,586.22

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Solution

The third proportional to 774,437.91 and 1,677,586.22 is: 3,633,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,437.91 : 1,677,586.22 = 1,677,586.22 : x
  2. Step 2: Convert to fraction form
    774,437.91/1,677,586.22 = 1,677,586.22/x
  3. Step 3: Cross multiply
    774,437.91x = 1,677,586.22 × 1,677,586.22
  4. Step 4: Simplify right side
    774,437.91x = 2,814,295,521,339.92
  5. Step 5: Solve for x
    x = 2,814,295,521,339.92/774,437.91
  6. Step 6: Final answer
    x = 3,633,984.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.